12935
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 3865
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9504
- Möbius Function
- -1
- Radical
- 12935
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Two-rowed truncated monotone triangles.at n=5A006947
- Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.at n=22A062693
- Numbers k such that (k+1)*phi(k) is a perfect square.at n=17A069952
- Expansion of (1+x^3*C^2)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071732
- Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n-2). r and s are positive integers.at n=43A085950
- Convoluted convolved Fibonacci numbers G_8^(r).at n=11A089115
- Numbers k that divide Lucas(k) + 1.at n=30A094398
- Odd numbers k that divide Lucas(k) + 1.at n=10A094399
- Positive integers i for which A112049(i) == 7.at n=34A112067
- a(n) = 392*n - 1.at n=32A158004
- a(n) = 66*n^2 - 1.at n=13A158693
- Number of strictly increasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=36A188182
- a(n) = (1/n) * Sum_{d|n} moebius(n/d) * Lucas(d)^3, where Lucas(n) = A000204(n).at n=7A203854
- The number of 2 X 2 symmetric positive definite matrices whose entries are integers x,y,z satisfying x^2 + y^2 + z^2 <= n^2.at n=29A219744
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 446", based on the 5-celled von Neumann neighborhood.at n=13A282264
- Odd composite integers m such that A005248(m) == 3 (mod m).at n=36A335672
- Numbers k such that abs(A328258(k)) = abs(A328258(k+1)).at n=21A348586
- G.f.: Sum_{k>=0} x^(k^2) * Product_{j=1..k} 1/(1 - x^j)^4.at n=17A376712